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134322112431 = 3313237795601
BaseRepresentation
bin111110100011000111…
…0001100011110101111
3110211201010202022021000
41331012032030132233
54200042430044211
6141412353011343
712463425055143
oct1750616143657
9424633668230
10134322112431
1151a69370181
1222048253b53
13c888466b00
14670350b223
153762514656
hex1f4638c7af

134322112431 has 48 divisors (see below), whose sum is σ = 221304652320. Its totient is φ = 80425612800.

The previous prime is 134322112429. The next prime is 134322112433. The reversal of 134322112431 is 134211223431.

134322112431 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 221 + 1 + 2 + 431 = 666.

It is an interprime number because it is at equal distance from previous prime (134322112429) and next prime (134322112433).

It is not a de Polignac number, because 134322112431 - 21 = 134322112429 is a prime.

It is a super-2 number, since 2×1343221124312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134322112395 and 134322112404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134322112433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228970 + ... + 566631.

It is an arithmetic number, because the mean of its divisors is an integer number (4610513590).

Almost surely, 2134322112431 is an apocalyptic number.

134322112431 is a deficient number, since it is larger than the sum of its proper divisors (86982539889).

134322112431 is a wasteful number, since it uses less digits than its factorization.

134322112431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795673 (or 795654 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 134322112431 its reverse (134211223431), we get a palindrome (268533335862).

It can be divided in two parts, 134322 and 112431, that added together give a triangular number (246753 = T702).

The spelling of 134322112431 in words is "one hundred thirty-four billion, three hundred twenty-two million, one hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 9 13 27 37 39 111 117 169 333 351 481 507 999 1443 1521 4329 4563 6253 12987 18759 56277 168831 795601 2386803 7160409 10342813 21481227 29437237 31028439 88311711 93085317 134456569 264935133 279255951 382684081 403369707 794805399 1148052243 1210109121 3444156729 3630327363 4974893053 10332470187 14924679159 44774037477 134322112431